Question

60 is the LCM of which of the following pair of number

Answer 1

The pair of number that has the LCM of 60 is;

`15\text{ and 20}`

Step-by-step explanation:

Given the pairs of number in the answer choices, we want to select the pair that has a LCM of 60;

Let us find the LCM of each of the pairs;

`\begin{gathered} 12=2*2*3 \\ 18=2*3*3 \\ \text{LCM = 2}*2*3*3=36 \end{gathered}`
`\begin{gathered} 10=2*5 \\ 30=2*3*5 \\ \text{LCM}=2*3*5=30 \end{gathered}`
`\begin{gathered} 15=3*5 \\ 20=2*2*5 \\ \text{LCM}=2*2*3*5=60 \end{gathered}`
`\begin{gathered} 20=2*2*5 \\ 25=5*5 \\ \text{LCM}=2*2*5*5=100 \end{gathered}`

Therefore, the pair of number that has the LCM of 60 is;

`15\text{ and 20}`